| We consider the Fourier expansion of a broad class of Eisenstein series on GL(n). Each Fourier coefficient is split into terms parametrized by the elements of the Weyl group. By analyzing the singularities of these terms, as well as their growth as functions of certain coordinates yi on GL( n, R ), we find that whenever these Eisenstein series have poles, they also have zeros very close to their poles for all sufficiently large values of a suitably chosen yi. Furthermore, the location of these zeros as yi tends to infinity can be given asymptotically in terms of automorphic L-functions and automorphic forms on GL(i) and GL(n - i). |
